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Simplifying 5(y + -2) = 2(2y + 3) + -6 Reorder the terms: 5(-2 + y) = 2(2y + 3) + -6 (-2 * 5 + y * 5) = 2(2y + 3) + -6 (-10 + 5y) = 2(2y + 3) + -6 Reorder the terms: -10 + 5y = 2(3 + 2y) + -6 -10 + 5y = (3 * 2 + 2y * 2) + -6 -10 + 5y = (6 + 4y) + -6 Reorder the terms: -10 + 5y = 6 + -6 + 4y Combine like terms: 6 + -6 = 0 -10 + 5y = 0 + 4y -10 + 5y = 4y Solving -10 + 5y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10 + 5y + -4y = 4y + -4y Combine like terms: 5y + -4y = 1y -10 + 1y = 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 1y = 0 Add '10' to each side of the equation. -10 + 10 + 1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 0 + 10 1y = 0 + 10 Combine like terms: 0 + 10 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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